Ratios
Write the ratio of red marbles to blue marbles if a jar has 8 red marbles and 12 blue marbles. Express the ratio three ways.
8:12, 8/12, 8 to 12
Find the unit price: $9.00 for 3 notebooks. How much per notebook? Express as a unit rate.
$3/notebook
Are the ratios 12/30 and 8/20 proportional?
Yes
Solve for n in this proportion: 16 over 12 equals n over 21.
n = 28
If 2 bottles contain 40 fluid ounces total, how many ounces are in 9 bottles?
180 ounces
A picture shows 3 cats and 5 dogs. Write the ratio of dogs to animals, then write it as a fraction in simplest form.
5/8
You download 240 megabytes in 6 minutes. What is the download rate in megabytes per minute?
40 megabytes/minutes
Are the rates "6 miles in 2 hours" and "18 miles in 6 hours" proportional?
Yes
Solve for r in this proportion: r over 2.8 equals 3 over 70.
r = 0.12
A pack of 5 party grab bags costs $7.50. How much will 9 grab bags cost?
$13.50
If the ratio of thumbs up to thumbs down is 7:2, what fraction of the total are thumbs up?
7/9
At the store, 5 pounds of apples cost $7.50. What is the unit price per pound? Express as dollars per pound.
$1.50/pound
Fill in the missing value that makes these proportional: 5/8 = x/32.
20
Solve for a in this proportion: a over 5 equals 18 over 30.
a = 3
The ratio of sixth graders to seventh graders is 3:7. If there are 21 seventh graders, how many sixth graders are there?
9 sixth graders
A map uses a ratio 1:50 to represent a model. If a model car measures 6 cm, what is the actual car length in centimeters?
300 cm
A package of 5 hours of tutoring costs $120. What is the unit rate in dollars per hour? Show your work and give the answer as a dollar amount per hour.
$24/hour
Two runners: Runner A runs 40 meters in 7 seconds; Runner B runs 120 meters in s seconds. Write a proportion to find s and solve for s.
21 seconds
Solve for x in this proportion: 7 over x equals 21 over 63.
x = 21
There are 27 computers. There are 7 activity booklets for every 3 computers. How many activity booklets are needed for the lab?
63 activity booklets
A classroom has 24 students. The ratio of students who prefer math to those who prefer reading is 5:1. How many students prefer math, and how many prefer reading? Show your work and give the answer for both groups.
20 students prefer math, 4 students prefer reading
A car travels 165 miles in 3 hours and 15 minutes. What is the unit rate in miles per hour? (Hint! How many hours is 15 minutes? Give answer to two decimal places.)
50.77 mph
A recipe uses 2.5 cups sugar for every 1.25 cups flour. If you want to make 75 cups of mixture (same proportion), how many cups of sugar are required?
50 cups of sugar
Solve for y in this proportion: 4.5 over 6 equals y over 24.
y = 18
An animal shelter has dogs to cats in a ratio of 5:3. If there are 25 dogs, how many cats should there be? Then, if the shelter instead had 64 animals total with the same ratio, how many dogs and cats would there be? (Show both answers and reasoning.)
15 cats when there are 25 dogs. 40 dogs and 24 cats